Combining Ratios WORKSHEET

Suitable for Year groups: Year 9, Year 10
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Equivalent ratios, lowest common multiples, sharing ratios, angles in a triangle

Combining Ratios WORKSHEET DESCRIPTION

This worksheet gives a scaffolded approach to solving ratio problems involving converting two two-part ratios to a single three-part ratio.

Section A leads learners through a structured process to find a common multiple which will give the final three-part ratio.

Section B provides more problems similar to Section A but with blank tables and no scaffolding.

Section C then introduces the problem of the ratio of distances between four points on a line. A diagram and structured process are provided for each question.

Section D then provides some worded contextual problems which will require the processes used in the earlier sections.

Frequently Asked Questions

This problem solving with ratio worksheet is designed for students in Year 9 and Year 10 and aligns with the UK National Curriculum.